Deadlines:

If you wish to attend the Workshop and/or receive further information about it, please complete the following Registration Form, no later that January 4, 2015.

Lodging reservation:

From the University of Zaragoza we can book accommodation in the hotels of this link.

In this map we can see the situation of these hotels.

For booking accommodation, you can send an email to iyrwgmcunizar.es with the following information:

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Indicate if you have a preference to share the room:

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It is possible that we obtain better offers. You can make the booking yourseft using websites

Participants:

Arnaudon

Alexis

Imperial College London

Avendaño

Martín

Centro Universitario de la Defensa Zaragoza

Balseiro

Paula

Universidade Federal Fluminense

Barbero Liñán

María

Universidad Carlos III de Madrid-ICMAT

Búa Devesa

Lucía

Universidade de Santiago de Compostela (USC)

Bursztyn

Henrique

IMPA

Cariñena

José F.

Universidad de Zaragoza

Clemente-Gallardo

Jesús

Universidad de Zaragoza

de Lucas

Javier

University of Warsaw

Farré

Marta

ICMAT

Gay-Balmaz

François

CNRS - Ecole Normale Superieure de Paris

Gheorghiu

Irina Mihaela

University of Zaragoza

Ghezzi

Roberta

University of Burgundy

Gracia

Xavier

Universidad Politécnica de Cataluña

Gutiérrez

Álvaro

Universidad de Zaragoza

Jover

Jorge

Universidad de Zaragoza

Kertesz

David Csaba

University of Debrecen

Latorre

Adela

Universidad de Zaragoza

Marrero

J C

University of La Laguna

Martín de Diego

David

ICMAT

Martinez Alba

Nicolas

IMPA

Martínez Campos

Cédric

Universidad de Valladolid

Martínez Fernández

Eduardo

University of Zaragoza

Martínez Torres

David

PUC-Rio

Mestdag

Tom

Ghent University

Milkovszki

Tamás

University of Debrecen

Padron

Edith

University of La Laguna

Postavaru

Octavian

ELI-NP Bucharest and Univrersity of Bucharest

Presura

Ileana

University of Bucharest, Bucharest

Prieto Martínez

Pedro Daniel

Universitat Poliècnica de Catalunya - BarcelonaTech

Rodriguez-Olmos

Miguel

Universitat Politécnica de Catalunya

Rotkiewicz

Mikolaj

Warsaw University

Sansonetto

Nicola

Dipartimento di Matematica, Universita` di Padova

Salgado

Modesto

Universidad de Santiago

Sardon

Cristina

University of Salamanca

Tobolski

Mariusz

University of Warsaw

Vilariño Fernández

Silvia

Centro Universitario de la Defensa Zaragoza

Waeyaert

Goedele

Ghent University

How to get here:

The lectures will take place in the classroom 8 of the Faculty of Science (Building B: Mathematics and Statistics Building)

Introduction:

The 9th International Young Researchers Workshop on Geometry, Mechanics and Control will be the ninth in a series of workshops that have previously taken place in Madrid (2006, 2007), Barcelona (2008), Ghent (2009), La Laguna (2010), Coimbra (2012), Madrid (2012) and Barcelona (2013). Its goal is to bring together young researchers working in geometry, mechanics and control theory and to offer a platform to present the results of their research to an international audience.

The core of the workshop consists on 3 mini-courses, of 4 hours each, which serve as an introduction to different topics related to geometric structures in mechanics and control theory. The courses will be at a PhD and postdoctoral level, and it is expected that the young researchers will be, at the end of the workshop, able to access to the recent literature on the corresponding topics.

Along with the courses, there will be contributed short talks (30 minutes) and a poster session. Attendance is, of course, open to anyone, but in particular young researchers (PhD-students, recent PhD's) are encouraged to submit a talk or poster proposal.

The following is a non-exhaustive list of topics that can be covered during the workshop:

Abstract: An almost-Riemannian structure on a n-manifold is a generalized Riemannian structure whose local orthonormal frames are given by Lie bracket generating n-tuple of vector fields that can become collinear. The distribution generated locally by orthonormal frames has maximal rank at almost every point, but in general it has rank < n on a nonempty set which is generically an embedded submanifold.

The first example is the Grushin space, which appeared in the context of hypoelliptic operators in the 70s. More recently, almost-Riemannian geometry arise as the natural framework to model problems of population transfer in quantum control systems.

We will investigate topological, metric and geometric aspects of almost- Riemannian manifolds and we will present recent results concerning diffusion processes. Time permitting, we will give the spectral analysis of the Laplace-Beltrami operator.

Tom Mestdag (Ghent University, Belgium): The inverse problem of the calculus of variations.

Abstract: The inverse problem we will discuss is the following one: given a system of second-order ordinary differential equations, under what circumstances can these equations be derived from a variational principle, i.e. when does there exist a regular Lagrangian function, such that its corresponding Euler-Lagrange equations are equivalent to the original equations (i.e. have the same solutions). In the introduction to his famous paper `Solution of the inverse problem of the calculus of variations', published in 1941, Fields medalist Jesse Douglas said that the `problem indicated in the title is one of the most important hitherto unsolved problems of the calculus of variations'. Unlike his title suggests, Douglas gave the solution to this problem for two dimensions only, and the problem has not been solved (in the sense that Douglas solved it) for higher dimensions, either in general, or even in any particular subcase. This is not to say that no progress has been made in the intervening 70 years.

In the lectures, we will make use of a differential geometric approach to the problem, the calculus of derivations of forms along a map. We will focus on some integrability aspects, on some specific subcases, on an extension of the problem to systems with non-conservative forces, and on the related problem of metrizability in Finsler geometry.

Abstract: Starting from Hamiltonian actions, we shall look at all coadjoint orbits (Poisson geometry) to obtain a geometric incarnation of basic facts from Lie theory of compact Lie groups. We shall also look at coadjoint orbits of compact groups individually (symplectic geometry), and discuss their topology and complex geometry. Time permiting, we shall recall connections with representation theory, and discuss features of coadjoint orbits of non-compact semisimple Lie groups.